The Singular-Value Decomposition as a Tool for Solving Estimability Problems
Randall L. Eubank, John T. Webster · The American Statistician · 1985
The intent of this article is to present a straightforward method of investigating the estimability problems of linear models. As a teaching tool the value is twofold: (a) the problems can be structured and solved by standard matrix multiplication, and (b) the uniqueness (or absence of uniqueness) of a solution is explicitly demonstrated to the student. The approach is a direct application of the singular-value decomposition of matrix. As an intermediate step, a useful representation of the generalized inverse of a matrix is formulated.